Logarithms Flashcards

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1
Q

Equation for logarithms in logarithmic form

A

log(small b)n = p

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2
Q

How do we remember the logarithms formula?

A

“The base raised to what power equals the number?”

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3
Q

Logarithms equation in exponential form

A

n = b^p

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4
Q

In n=b^p, what is the relationship between n and p?

A

p is the logarithm of n

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5
Q

When are logarithms used?

A

With very small, and sometimes very big numbers

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6
Q

Work out log(small2)64 without a calculator, explaining this

A

“The base raised to what power equals the number?”
2^? = 64
=6

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7
Q

Where can logarithm rules be found?

A

In the data book

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8
Q

what do we use for log?

A

In

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9
Q

What is the logx^n = nlogx rule useful for?

A

To get rid of a power in a formula

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10
Q

Which rule of logarithms can be used to get rid of a power in a formula?

A

logx^n = nlogx

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11
Q

What happens when log or ln are multiplied together?

A

They cancel each other out

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12
Q

Which 2 things involved in logarithms cancel each other out when multiplied together?

A

In or log and e

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13
Q

Is it Ln or In?

A

It’s an L but lowercase so it looks like an I very confusing I know

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14
Q

Value of e for a decreasing quantity

A

e-

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15
Q

Value of e for an increasing quantity

A

e+

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16
Q

What does e- imply?

A

Decreasing quantity

17
Q

What does e+ imply?

A

Increasing quantity

18
Q

e^0

A

1

19
Q

Continuous variable

A

Has every value in between

20
Q

Word for powers

A

Exponents

21
Q

What do all exponents have to be and why?

A

Unitless as they’re dimensionless

22
Q

What do we do to ensure that exponents remain unitless?

A

They’re cancelled out by making whatever the other exponent that’s multiplied by the other the negative of the other one
E.g - years and years-1